The following are my papers, preprints, and things that are in preparation. I have included pdfs of the papers whenever they are available.
The Chebotarev invariant for direct products of nonabelian finite simple groups (with A. Lucchini and J. Anzanello) (2025), to appear in Proc. American Math. Soc., pdf.
Enumerating finite permutation groups (with C. M. Roney-Dougal) (2024) preprint, pdf.
Weakly subnormal subgroups and variations of the Baer-Suzuki theorem (with R. M. Guralnick and H. Tong-Viet) (2024), to appear in J. London Math. Soc., pdf.
On the closure of cyclic subgroups of a free group in pro-V topologies (with C. Marion and P. Silva) (2023) preprint, pdf.
The pro-k-solvable topology on a free group (with C. Marion and P. Silva) (2023), to appear in J. Austral. Math. Soc, pdf.
The pro-supersolvable topology on a free group: deciding denseness (with C. Marion and P. Silva) (2023) preprint, pdf.
On the pseudovariety of groups U=Ab(p)*Ab(p-1) (with C. Marion and P. Silva) (2023), preprint, pdf.
Totally 2-closed finite groups with trival Fitting subgroup (with M. Arezoomand, M. Iranmesh and C. E. Praeger). Bull. Math. Sci. 2350004 (2023), 1--76 pdf.
Comparing the order and the minimal number of generators of a finite irreducible linear group (with D. F. Holt). J. Algebra 603 (2022), 260--280, pdf.
On the transitive permutation groups of degree 48 (with D. F. Holt and G. Royle). J. Algebra 607 Part A (2022), 372--386, pdf.
On the proportion of p-elements in a finite group, and a modular Jordan type theorem (2021), preprint pdf.
On the Goldschmidt-Sims conjecture (with L. Pyber) (2021), preprint pdf.
Elements of finite groups contained in a unique maximal subgroup (with R. M. Guralnick) (2021), preprint pdf .
Some simplifications in the proof of the Sims conjecture (with L. Pyber). J. Algebra, to appear (2021), pdf .
Sharp upper bounds on the minimal number of elements required to generate a transitive permutation group (2021), preprint, pdf.
On finite totally 2-closed groups (with A. Abdollahi and M. Arezoomand) (2020), preprint, pdf .
On the Fitting height and insoluble length of finite groups (with R. M. Guralnick), Bull. London Math. Soc. doi:10.1112/blms.12372 (2020), pdf.
Generating maximal subgroups of finite almost simple groups (with A. Lucchini and C. Marion), Forum. Math. Sigma 8 e32 doi.org/10.1017/fms.2019.43 (2020), pdf.
Finite groups with large Chebotarev invariant (with A. Lucchini), Israel J. Math., 235 (2020) 169–182, pdf.
Engel elements in branch groups (with G. A. Fernandez-Alcober and M. Noce), J. Algebra, 554 (2020) 54–77, pdf .
A left 3-Engel element whose normal closure is not nilpotent, (with M. Noce and G. Traustason), J. Pure and Applied Algebra, 224 (3) (2020) 1092 - 1101, pdf.
Invariable generation of permutation and linear groups. J. Algebra (524) (2019) 250 - 289, pdf.
Left 3-Engel elements in groups of exponent 60 (with G. Traustason). Int. J. Algebra and Comput. 28 (4) (2018) 673 - 695, pdf.
Minimal generation of transitive permutation groups. J. Algebra ( 509) (2018) 40 - 100, pdf.
An upper bound on the Chebotarev invariant of a finite group (with A. Lucchini), Israel J. Math. 219 (1) (2017) 449 - 467, pdf.
Generating minimally transitive permutation groups, J. Algebra (460) (2016) 380 - 386, pdf.